Concept explainers
Carry out the following conversions: (a)
Interpretation:
The given conversions are to be carried out by dimensional analysis.
Concept introduction:
Dimensional analysis is a way to convert the units of measurement. In order to convert one unit to another, one needs to know the relationship between those units. These relationships are called conversion factors. Dimensional analysis is used to set up and solve a unit conversion problem using conversion factors.
Conversion factor is a fraction obtained from a relationship between the units. It is written as a ratio, and can be inverted to give two conversion factors for every relationship.
Answer to Problem 57QP
Solution:
a)
b)
c)
d)
Explanation of Solution
a)
Convert the quantity
The conversion factors for the relationship
The conversion factors for the relationship
Now, set up the unit conversion problem using the appropriate conversion factors.
The units in the conversion factor must cancel to give the correct unit for the answer. The answer is rounded off to
Hence,
b)
Convert the quantity
The conversion factors for the relationship
Now, set up the unit conversion problem using the appropriate conversion factor.
The units in the conversion factor must cancel to give the correct unit for the answer.
Hence,
c)
Convert the quantity
The conversion factors for the relationship
Now, set up the unit conversion problem using the appropriate conversion factor.
The units in the conversion factor must cancel to give the correct unit for the answer. The answer is rounded off to
Hence,
d)
Convert the quantity
The conversion factors for the relationship
The conversion factors for the relationship
Now, set up the unit conversion problem using the appropriate conversion factors.
The units in the conversion factor must cancel to give the correct unit for the answer.
Hence,
Want to see more full solutions like this?
Chapter 1 Solutions
Chemistry
- Carry out the following conversions: (a) 1.42 lightyears to miles (a light-year is an astronomical measure of distance—the distance traveled by light in a year, or 365 days; the speed of light is 3.00x10^8 m/s), (b) 32.4 yd to centimeters, (c) 3.0 3x10^10 cm/s to ft/s.arrow_forwardThe volume of a certain bacterial cell is 2.56 mm3. (a) What is its volume in cubic millimeters (mm3)? (b) What is the volume of 105 cells in liters (L)?arrow_forwardCalculate these volumes.(a) What is the volume of 35 g iodine, density = 4.93 g/cm 3 ?(b) What is the volume of 33.28 g gaseous hydrogen, density = 0.089 g/L?arrow_forward
- 2. Carry out the following operations and express the answer with the appropriate number of significant figures and units: (a) (5.231 mm)(6.1 mm), (b) 72.3 g/1.5 mL, (c) 12.21 g+0.0132 g, and (d) 31.03 g+ 12 mg.arrow_forwardAn individual weighs 81.4 kg and is 1.78 m tall. (a) What is the person's equivalent measurement in pounds? (b) What is the person's equivalent measurement in feet?arrow_forwardCalculate these volumes.(a) What is the volume of 25 g iodine, density = 4.93 g/cm3?(b) What is the volume of 3.28 g gaseous hydrogen, density = 0.089 g/L?arrow_forward
- Calculate these masses.(a) What is the mass of 6.00 cm 3 of sodium, density = 0.97 g/cm 3 ?(b) What is the mass of 155 mL gaseous chlorine, density = 3.16 g/L?arrow_forwardb) One sphere has a radius of 5.10 cm; another has a radius of 5.00 cm. What is the difference in volume (in cubic centimeters) between the two spheres? Give the answer to the correct number of significant figures. The volume of a sphere is (4/3)TTr³, where TT= 3.1416 and r is the radius.arrow_forwardA group of students took turns using a laboratory balanceto weigh the water contained in a beaker. The results theyreported were 111.42 g, 111.67 g, 111.21 g, 135.64 g,111.02 g, 111.29 g, and 111.42 g.(a) Should any of the data be excluded before the average is calculated?(b) From the remaining measurements, calculate the average value of the mass of the water in the beaker.(c) Calculate the standard deviation s and, from it, the 95% confidence limit.arrow_forward
- The volume of a certain bacterial cell is 2.56 m³. (a) What is its volume in cubic millimeters (mm³)? (b) What is the volumeof 10⁵cells in liters (L)?arrow_forwardA slow jogger runs a mile in 13 min. Calculate thespeed in (a) in/s, (b) m/min, (c) km/h (1 mi = 1609 m;1 in = 2.54 cm).arrow_forward(a) Starting with the definition 1.00 in.= 2.54 cm, find the number of kilometers in 1.00mile. (b) In medicine, volumes are often expressed in millimeters (ml or mL). Showthat a milliliter is the same as a cubic centimeter. (c) How many cubic centimetersof water are there in a 1.00 L bottle of drinking water?arrow_forward
- ChemistryChemistryISBN:9781305957404Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCostePublisher:Cengage LearningChemistryChemistryISBN:9781259911156Author:Raymond Chang Dr., Jason Overby ProfessorPublisher:McGraw-Hill EducationPrinciples of Instrumental AnalysisChemistryISBN:9781305577213Author:Douglas A. Skoog, F. James Holler, Stanley R. CrouchPublisher:Cengage Learning
- Organic ChemistryChemistryISBN:9780078021558Author:Janice Gorzynski Smith Dr.Publisher:McGraw-Hill EducationChemistry: Principles and ReactionsChemistryISBN:9781305079373Author:William L. Masterton, Cecile N. HurleyPublisher:Cengage LearningElementary Principles of Chemical Processes, Bind...ChemistryISBN:9781118431221Author:Richard M. Felder, Ronald W. Rousseau, Lisa G. BullardPublisher:WILEY